Geodesic
Univalent Harmonic Mappings Between Jordan Domains
Publications de l'Institut Mathématique, _N_S_69 (2001) no. 83, p. 108 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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We give a classification of univalent harmonic functions of a Jordan domain onto a convex Jordan domain with boundary which does not contain linear segments. It is interesting that the boundary function must be continuous but not necessarily univalent function, contrary to the case of conformal mappings.
Classification : 30C55 31A05
Keywords: Complex functions, Planar harmonic mappings 
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     author = {David Kaljaj},
     title = {Univalent {Harmonic} {Mappings} {Between} {Jordan} {Domains}},
     journal = {Publications de l'Institut Math\'ematique},
     pages = {108 },
     year = {2001},
     volume = {_N_S_69},
     number = {83},
     zbl = {1029.30502},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PIM_2001_N_S_69_83_a13/}
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David Kaljaj. Univalent Harmonic Mappings Between Jordan Domains. Publications de l'Institut Mathématique, _N_S_69 (2001) no. 83, p. 108 . http://geodesic.mathdoc.fr/item/PIM_2001_N_S_69_83_a13/